The Kirchhoff Rod as a XY Spin Chain Model

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dc.creatorDandoloff, Rossen
dc.creatorGrahovski, Georgi
dc.date2005-12-23
dc.date.accessioned2026-07-07T06:55:59Z
dc.date.available2026-07-07T06:55:59Z
dc.descriptionA XY Heisenberg spin chain model with two perpendicular spins par site is mapped onto a Kirchhoff thin elastic rod. It is shown that in the case of constant curvature the Euler--Lagrange equation leads to the static sine-Gordon equation. The kink-antikink type and periodical static solutions for these models are derived.
dc.description6 pages, 1 figure, IOP style
dc.identifierhttps://arxiv.org/abs/nlin/0512069
dc.identifierhttp://arxiv.org/abs/nlin/0512069
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106468
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleThe Kirchhoff Rod as a XY Spin Chain Model
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